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True [87]
3 years ago
10

What is the y-intercept for lines that have the general form, y = mx

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

It is 0

Step-by-step explanation:

y = mx indicates that the line has no y intercept and that it passes through the origin (0,0).

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Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.
kati45 [8]

Answer:

Substitute in the values of both given coordinates & form 2 equations:

\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.

Find the value of B from the equation 2A - B = 1:

2A-B=1\\-B=1-2A\\B=2A-1

Substitute in the B-value to the other equation:

-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}

Find the B-value using the equation from before:

B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}  

Therefore the equation Ax + By = 1 would equal:

\frac{1}{7} x-\frac{5}{7} y=1

4 0
3 years ago
What is the equation of a line that passes through (-2,1) and is parallel to y=3x-4
Rama09 [41]
If a line is parallel to another, the slopes of both lines are the same. So for this problem, you can infer that the slope of the line you're trying to find is 3.

To find the actual equation of the line, you can use the given coordinates and plug them into the point slope form:

y - y1 = m(x - x1)

plug the given y coordinate into y1 and the given x coordinate into x1. m is the slope, so plug in 3 for m.

y - 1 = 3(x +2) Use distributive property for right side of equation

y - 1 = 3x + 6 add 1 to both sides to cancel -1 on left side of equation and isolate y

Equation of line: y = 3x + 7


3 0
3 years ago
6 (1/3x-2) please help me
levacccp [35]

Answer:

The answer will be 2x-12

Step-by-step explanation:

Hope this Helped

3 0
3 years ago
Read 2 more answers
Lee spent $36 to purchase a combination of drinks, sandwiches, and chips for himself and his friends. A drink costs $2, a sandwi
valkas [14]

2x+4y+0.50z=36 represents the situation.

Step-by-step explanation:

Let,

Drinks = x

Sandwich = y

And,

Chips = z

Total amount on these items = $36

According to the statement;

x(cost\ of\ one\ drink)+y(cost\ of\ one\ sandwich)+z(cost\ of\ one\ chips)=\ Total\ amount\ spent\\2x+4y+0.50z=36

2x+4y+0.50z=36 represents the situation.

Keywords: Linear equations

Learn more about linear equations at:

  • brainly.com/question/10081622
  • brainly.com/question/10341324

#LearnwithBrainly

7 0
3 years ago
One x-intercept for a parabola is at the point (1,0). Use the factor method to find the other x-intercept for the parabola defin
Hoochie [10]
First simplify the equation of parabola y=-5x^2+15x-10 in the following way:
D=(15)^2-4\cdot (-5) \cdot (-10)=225-200=25, \\  \sqrt{D}=5, \\  x_{1,2} = \dfrac{-15\pm 5}{2\cdot(-5)} = 2, 1  \\ -5x^2+15x-10=-5(x-1)(x-2), \\ y=-5(x-1)(x-2).
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).

3 0
3 years ago
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